LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 205/60, 732/614

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 205/60, 732/614 i.e 1/18420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/60, 732/614.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 205/60,732/614?

Given fractions are 205/60,732/614

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 205/60,732/614, numerators are 205,732

Denominators are 60,614

The GCF of 205,732 is 1 .

LCM of 60,614 is 18420.

The greatest common factor of 205/60,732/614 = [GCF of 205,732]/[LCM of 60,614]= 1/18420

Therefore, the GCF of 205/60,732/614 is 1/18420.

Greatest Common Factor of 205,732

To find the highest common factor of 205,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 205 are 1, 5, 41, 205

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 205,732 is 1.

Lets's calculate GCF of 205,732

Greatest Common Factor (GCF) of 205,732 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 205,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,732 By Matching Biggest Common Factor Method

Now, list down the factors of 205

:

1,5,41,205

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 205,732 . The biggest common factor number is the GCF number.
So the greatest common factor 205,732 is 1.

Lets's calculate LCM of 60,614

Lowest Common Multiple of 60,614 using Common Division

2 60, 614
30, 307

∴ So the LCM of the given numbers is 2 x 30 x 307 = 18420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18420

Therefore, the GCF of Fractions 205/60,732/614 is 1/18420

Least Common Multiple of 60,614 with GCF Formula

Least Common Multiple of 60,614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,614) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(60,614) x common factors =2 x 1 = 2

LCM(60,614) = ( 60 × 614 ) / 2

LCM(60,614) = 36840 / 2

LCM(60,614) = 18420


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 205/60, 732/614

1. What is the HCF of 205,732?

The HCF of 205,732 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 205/60, 732/614?

Answer: GCF of Numerators as per given numbers 205/60, 732/614 is

GCF of Numerators i.e. for 205,732 is 1

LCM of denominators i.e. for 60,614 is 18420.

Thus, GCF of Fractions is 1/18420.Finally, GCF of Fractions for 205/60, 732/614 is 1/18420.